Show that this vector space spans V












-1












$begingroup$


enter image description here



Im unsure how to approach this.










share|cite|improve this question









$endgroup$

















    -1












    $begingroup$


    enter image description here



    Im unsure how to approach this.










    share|cite|improve this question









    $endgroup$















      -1












      -1








      -1





      $begingroup$


      enter image description here



      Im unsure how to approach this.










      share|cite|improve this question









      $endgroup$




      enter image description here



      Im unsure how to approach this.







      linear-algebra vector-spaces






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 6 at 12:53









      user607735user607735

      103




      103






















          1 Answer
          1






          active

          oldest

          votes


















          1












          $begingroup$

          Hint:



          The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.



          To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).






          share|cite|improve this answer









          $endgroup$













            Your Answer





            StackExchange.ifUsing("editor", function () {
            return StackExchange.using("mathjaxEditing", function () {
            StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
            StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
            });
            });
            }, "mathjax-editing");

            StackExchange.ready(function() {
            var channelOptions = {
            tags: "".split(" "),
            id: "69"
            };
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function() {
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled) {
            StackExchange.using("snippets", function() {
            createEditor();
            });
            }
            else {
            createEditor();
            }
            });

            function createEditor() {
            StackExchange.prepareEditor({
            heartbeatType: 'answer',
            autoActivateHeartbeat: false,
            convertImagesToLinks: true,
            noModals: true,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: 10,
            bindNavPrevention: true,
            postfix: "",
            imageUploader: {
            brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
            contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
            allowUrls: true
            },
            noCode: true, onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            });


            }
            });














            draft saved

            draft discarded


















            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3063826%2fshow-that-this-vector-space-spans-v%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown

























            1 Answer
            1






            active

            oldest

            votes








            1 Answer
            1






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            1












            $begingroup$

            Hint:



            The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.



            To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).






            share|cite|improve this answer









            $endgroup$


















              1












              $begingroup$

              Hint:



              The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.



              To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).






              share|cite|improve this answer









              $endgroup$
















                1












                1








                1





                $begingroup$

                Hint:



                The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.



                To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).






                share|cite|improve this answer









                $endgroup$



                Hint:



                The inclusion $langle v_1,dots,v_{n-2}rangle subset langle v_1,dots,v_{n}rangle$ is obvious.



                To prove the reverse inclusion, you just have to prove that $v_nin langle v_1,dots,v_{n-2}rangle$. (For $v_{n-1}$, this is by hypothesis).







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Jan 6 at 13:02









                BernardBernard

                119k639112




                119k639112






























                    draft saved

                    draft discarded




















































                    Thanks for contributing an answer to Mathematics Stack Exchange!


                    • Please be sure to answer the question. Provide details and share your research!

                    But avoid



                    • Asking for help, clarification, or responding to other answers.

                    • Making statements based on opinion; back them up with references or personal experience.


                    Use MathJax to format equations. MathJax reference.


                    To learn more, see our tips on writing great answers.




                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function () {
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3063826%2fshow-that-this-vector-space-spans-v%23new-answer', 'question_page');
                    }
                    );

                    Post as a guest















                    Required, but never shown





















































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown

































                    Required, but never shown














                    Required, but never shown












                    Required, but never shown







                    Required, but never shown







                    Popular posts from this blog

                    An IMO inspired problem

                    Management

                    Has there ever been an instance of an active nuclear power plant within or near a war zone?